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Finding the Fourth Proportional to 657.01, 985.06 and 413.71

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Solution

The fourth proportional to 657.01, 985.06 and 413.71 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.01 : 985.06 = 413.71 : x
  2. Step 2: Convert to fraction form
    657.01/985.06 = 413.71/x
  3. Step 3: Cross multiply
    657.01x = 985.06 × 413.71
  4. Step 4: Simplify right side
    657.01x = 407,527.23
  5. Step 5: Solve for x
    x = 407,527.23/657.01
  6. Step 6: Final answer
    x = 620.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.